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Finding the Fourth Proportional to 14,900.94, 20,563.74 and 8,186.99

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Solution

The fourth proportional to 14,900.94, 20,563.74 and 8,186.99 is: 11,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.94 : 20,563.74 = 8,186.99 : x
  2. Step 2: Convert to fraction form
    14,900.94/20,563.74 = 8,186.99/x
  3. Step 3: Cross multiply
    14,900.94x = 20,563.74 × 8,186.99
  4. Step 4: Simplify right side
    14,900.94x = 168,355,030.92
  5. Step 5: Solve for x
    x = 168,355,030.92/14,900.94
  6. Step 6: Final answer
    x = 11,298.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.